TY - BOOK
T1 - Novel scaling limits for critical inhomogeneous random graphs
AU - Bhamidi, S.
AU - Hofstad, van der, R.W.
AU - Leeuwaarden, van, J.S.H.
PY - 2009
Y1 - 2009
N2 - We find scaling limits for the sizes of the largest components at criticality for rank-1 inhomogeneous random graphs with power-law degrees with power-law exponent ?. We investigate the case where ??(3,4), so that the degrees have finite variance but infinite third moment. The sizes of the largest clusters, rescaled by n?(??2)/(??1), converge to hitting times of a ?thinned? Lévy process, a special case of the general multiplicative coalescents studied by Aldous [Ann. Probab. 25 (1997) 812?854] and Aldous and Limic [Electron. J. Probab. 3 (1998) 1?59].
AB - We find scaling limits for the sizes of the largest components at criticality for rank-1 inhomogeneous random graphs with power-law degrees with power-law exponent ?. We investigate the case where ??(3,4), so that the degrees have finite variance but infinite third moment. The sizes of the largest clusters, rescaled by n?(??2)/(??1), converge to hitting times of a ?thinned? Lévy process, a special case of the general multiplicative coalescents studied by Aldous [Ann. Probab. 25 (1997) 812?854] and Aldous and Limic [Electron. J. Probab. 3 (1998) 1?59].
M3 - Report
T3 - Report Eurandom
BT - Novel scaling limits for critical inhomogeneous random graphs
PB - Technische Universiteit Eindhoven
CY - Eindhoven
ER -